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LCM of 638, 213, 585, 87

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 638, 213, 585, 87 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 638, 213, 585, 87. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,213,585,87

Given numbers are 638,213,585,87

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 638,213,585,87 is 26499330.

Find LCM of 638,213,585,87 with Prime Factorization


3 638, 213, 585, 87
29 638, 71, 195, 29
22, 71, 195, 1

Multiply the prime numbers at the bottom and the left side.

3 x 29 x 22 x 71 x 195 x 1 = 26499330

Therefore, the lowest common multiple of 638,213,585,87 is 26499330.

LCM Formula to Find Lowest Common Multiple of 638,213,585,87

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

638 x 213 x 585 x 87 = 6916325130

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

638 : 1, 2, 11, 22, 29, 58, 319, 638

213 : 1, 3, 71, 213

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

87 : 1, 3, 29, 87

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,213,585,87, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

213:3x 71

585:3x 3x 5x 13

87:3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 29 = 261

Therefore, the value for common factors is 261.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 6916325130/(1x261)

LCM = 6916325130/261

LCM = 26499330

Thus, we can understand that the LCM of 638,213,585,87 is 26499330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 213, 585, 87

1. What is the LCM of 638, 213, 585, 87?

Answer: LCM of 638, 213, 585, 87 is 26499330.

2. How to calculate the LCM of 638, 213, 585, 87?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 638, 213, 585, 87.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.